5-x< 13
Idk what it si

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

5-x< 13

-5      -5

-x< 8

Answer 2
Answer:

Answer:

-8

Step-by-step explanation:

5-x<13

-x<13-5

-x<8

-x/-1<8/-1

x<-8


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Activity 4: Factor Then solve1. x^2+7x=0
2. 6s^2+18s=0
3. t^+8t+16=0
4. x^2-10x+25=0
5. h^2+6h=16
6. x^2-14=5x
7. 11r+15=-2r^2
8. x^2-25=0
9. 81-4x^2=0
10. 4s^2+9=12s


PLEAAASE HELP ME!

Answers

very complex, you should ask each individual question, or give more points
general strategy:
get 1 side to equal 0
factor
set each factor to 0
solve


1. factor out the x and set each to zero
x(x+7)=0
x=0

x+7=0
subtract 7
x=-7
x=0 or -7



2. factor out the 6s
6s(s+3)=0
6s=0
s=0

s+3=0
subtract 3
s=-3
s=-3 or 0



3.  I'm assuming that the equation was supposed to be t^2+8t+16 so
find what 2 numbers multiply to get 16 and add to get 8
the numbers are 4 and 4
factor
(x+4)(x+4)=0
x+4=0
subtract 4
x=-4




4. find what 2 numbers multipy to get 25 and add to get -10
the numbers are -5 and -5
factor
(x-5)(x-5)=0
set each to zero
x-5=0
add 5
x=5



5. subtract 16 from both sides
h^2+6h-16=0
find what 2 numbers multiply to get -16 and add to get 6
the numbers are -6 and 10
factor
(h-6)(h+10)=0
set each to zero
h-6=0
add 6
h=6

h+10=0
subtract 10
h=-10
h=-10 or 6



6.subtract 5x from both sides
x^2-5x-14=0
find what 2 numbers multiply to get -14 and add to get -5
the numbers are -7 and 2
factor
(x-7)(x+2)=0
set each to zero
x-7=0
add 7
x=7

x+2=0
subtract 2
x=-2
x=-2 or 7




7.add 2r^2 to both sides
2r^2+11r+15=0
difficult so multiply 2 and 15 and get 30
not factor and find what 2 numbers multiply to get 30 and add to get 11
the numbers are 5 nd 6
split 11 up into 5 and 6
2r^2+6r+5r+15=0
group and factor
(2r^2+6r)+(5r+15)=0
factor
2r(r+3)+5(r+3)=0
reverse distribute
(2r+5)(r+3)=0
set each to zero
2r+5=0
subtract 5
2r=-5
divide 2
r=-5/2

r+3=0
subtract 3
r=-3
r=-3 or -5/2




8. this is a difference of 2 perfect squares in which if you have
x^2-y^2 that factors out of (x-y)(x+y) so
x^2-25=0
x^2-5^2=0
(x-5)(x+5)=0
set each to zero
x-5=0
add 5
x=5

x+5=0
subtract 5
x=-5
x=-5 or 5



9. differnce of 2 perfect squares
81-4x^2=0
9^2-(2x)^2=0
(9-2x)(9+2x)=0
set each to zero
9-2x=0
add 2x to both sides
9=2x
divde 2
9/2=x

9+2x=0
subtract 9 from both sidees
2x=-9
divide 2
x=-9/2
x=-9/2 or 9/2


10. subtract 12s from both sides
4s^2-12s+9=0
multiply 4 and 9 and get 36
find what 2 numbers multiply to get 36 and add to get -12
the numbers are -6 and -6
split up the -12s into -6s and -6s
4s^2-6s-6s+9=0
group
(4s^2-6s)+(-6s+9)=0
factor
2s(2s-3)+(-3)(2s-3)=0
reverse distribute
(2s-3)(2s-3)=0
set each to zero
2s-3=0
add 3
2s=3
divide 2
s=3/2









ANWERS:
1. x=0 or -7
2. s=-3 or 0
3. x=-4
4. x=5
5. h=-10 or 6
6. x=-2 or 7
7. r=-3 or -5/2
8. x=-5 or 5
9. x=-9/2 or 9/2
10. s=3/2

Eric has saved $18,300 toward a down payment on a house. He makes a salary of $59,750 a year. What is the maximum he could afford to borrow to buy a house?a) $90,500
b) $101,200
c) $119,500
d) $137,800

Answers

i think its b, i hope this is the rigth answer this was a little tough...

Find the area bounded by the curve y=x2 and the straight line y=2+xA.4 1/6
B. 4 1/2
C. 5 1/6
D. 5 1/2

Answers

x^2=2+x\n x^2-x-2=0\n x^2+x-2x-2=0\n x(x+1)-2(x+1)=0\n (x-2)(x+1)=0\n x=2 \vee =-1\n\n \displaystyle A=\int \limits_(-1)^22+x-x^2\, dx\n A=\left[2x+(x^2)/(2)-(x^3)/(3)\right]_(-1)^2\n A=2\cdot2+(2^2)/(2)-(2^3)/(3)-\left(2\cdot(-1)+((-1)^2)/(2)-((-1)^3)/(3)\right)\n A=4+2-(8)/(3)-\left(-2+(1)/(2)+(1)/(3)\right)\n A=6-(8)/(3)+2-(1)/(2)-(1)/(3)\right)\n A=8-(9)/(3)-(1)/(2)\n A=8-3-(1)/(2)\n A=5-(1)/(2)\n A=4(1)/(2)

The slope of the line passing through the points (2, 7) and (-4, 8) is -6 -1/2 -1/6

Answers

Hello,

m=(8-7)/(-4-2)=-1/6
Answer C

Answer:

-1/6

Step-by-step explanation:

Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. If Faye uses an out-of-network ATM twice a week, how much money does she pay in service fees every year?

Answers

$2.25+$2.25=$4.50 Twice a week 
52 weeks in a year
$4.50x52 weeks = $234

Answer: D. $234.00

Step-by-step explanation:

Just took a test and answered it correct.

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.Draw and label the dimension of a scale drawing of Mai’s kitchen, using a scale of 1 to 40.

Answers

Answer:

Step-by-step explanation:

This is an easy problem to work out, but a little hard to explain with just words and not a drawing.

Do you understand "scale"?  As in a "map scale"?  So many inches equals one mile or one kilometer?

If you were to draw this kitchen at "full scale" you'd need a really big piece of paper, right?  6m by 2m at least.

But that's not very helpful, so you "scale" it down.  What if you divided each measurement by 2?  Then your piece of paper would 'only' need to be 3m by 1m.  Still too big though, right?

So cut each measurement in half again, and you're down to 1.5m by 0.5m.  Getting better.  What we just did there is a "scale of 1 to 4," often written as 1:4.  (Cutting in half twice is 1/4th, or 1:4.)

But the problem specifies 1:40, so simply divide by 10 now, and you no longer need a piece of paper 1.5m x 0.5m, but only 0.15m (15cm) by 0.05m (5cm).

So on a piece of paper and draw a line 15cm long.  That's the scaled graphical representation of the long side of Mai's kitchen.  6m in the real world is 600cm.  Divide that by the "scaling factor" of 40 to get 15cm that you draw on your paper.

The other side of her rectangular kitchen scales down to 5cm.  (200cm/40).  So add that as the short leg, then complete the other two sides of the rectangle.

When they say to scale something down, simply divide all the dimensions by the scaling factor.

(If you were to scale up, you'd multiply by the scaling factor.)